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Simplifying 0.3(7a + -1) = 2a + 7(3) Reorder the terms: 0.3(-1 + 7a) = 2a + 7(3) (-1 * 0.3 + 7a * 0.3) = 2a + 7(3) (-0.3 + 2.1a) = 2a + 7(3) Multiply 7 * 3 -0.3 + 2.1a = 2a + 21 Reorder the terms: -0.3 + 2.1a = 21 + 2a Solving -0.3 + 2.1a = 21 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -0.3 + 2.1a + -2a = 21 + 2a + -2a Combine like terms: 2.1a + -2a = 0.1a -0.3 + 0.1a = 21 + 2a + -2a Combine like terms: 2a + -2a = 0 -0.3 + 0.1a = 21 + 0 -0.3 + 0.1a = 21 Add '0.3' to each side of the equation. -0.3 + 0.3 + 0.1a = 21 + 0.3 Combine like terms: -0.3 + 0.3 = 0.0 0.0 + 0.1a = 21 + 0.3 0.1a = 21 + 0.3 Combine like terms: 21 + 0.3 = 21.3 0.1a = 21.3 Divide each side by '0.1'. a = 213 Simplifying a = 213
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